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3 years ago

Which system of equations has the same solution as the system below?

Mathematics

1 answer:

worty [1.4K]3 years ago

8 0

Answer: Both A, and C

Step-by-step explanation:

The answer to the first system of equations (2x+2y=16) would be

x=3 and y=5 ( 3x-y=4 )

Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.

If A is 2x+2y=16, then x=3 and y=5

6x-2y=8

If B is x+y=16, then x=5 and y=11

3x-y=4

If C is 2x+2y=16, then x=3 and y=5

6x-2y=8

If D is 6x+6y=48 , then x=-2 and y=10

6x+2y=8

Both A and C are equal to the first system of equations, which means they are both correct answers.

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Explain the difference between properties of equality and properties of inequality when solving equations and inequalities

algol [13]

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Here is an example: x + 17 = 20

In this case, x can only take one solution because it is an absolute statement. Obviously, these can change, but conceptually, they will contain a set of answers a variable can take.

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3 years ago

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BlackZzzverrR [31]

Answer:

exactly

Step-by-step explanation:

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Two isosceles triangles are shown above. If b = 180-4a and a=35, What is the value of c?

Ymorist [56]

Answer:

a=35 given

b=40

c=110

I couldn't complete see c. Please look at the picture to see what I assumed it to be.

Step-by-step explanation:

Hmmm... I guess a and b are not vertical.

We are given b=180-4a and a=35 so b=180-4(35)=180-140=40.

So b=40.

Isosceles triangles always have congruent base angles. So let's call both of the base angles in the bottom triangle x.

That means x+x+40=180.

We need to solve this for x.

Combine like terms:

2x+40=180

Subtract 40 on both sides:

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Divide both sides by 2:

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Simplify:

x=70

So I'm assuming that c and it's adjacent angle are sitting on a straightedge together which means 70+c=180.

70+c=180

Subtract 70 on both sides:

c=180-70

Simplify:

c=110

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3 years ago

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